The weight will mostly be transfered diagonally down thru the brick ledge to the main part of the wall. Any remaining side forces would be restrained by the floor system.
I didn't stick build our main walls. I used 8" ICF for the basement with a 8" corbel/brickledge block facing inward, then stacked 6" ICF on top of the corbel up to the roof with the outer face of the 6" and 8" flush. The corbel gives you about a 4-1/2" shelf with the same size straight block stacked on top of it. so transitioning to 6" on top of the corbel gave me a 6-1/2" shelf to attach a sill plate to and hang the floor trusses from. I used top chord hung trusses so the truss structure hung down over the curved portion of the corbel block so the basement wall finish dosn't have to deal with a curved surface at the top corner.
There are of course a few ways to go from ICF to a framed wall, one is as you mentioned framing the floor on top of the ICF then building the walls on top of that(traditional framing method). I am wondering how the weight of an intrior brick wall would figure into that method though. In an outside brick facade, the brick would continue down to be supported by the footing. Brick on the inside puts the floor system between brick and concrete basement wall/shelf. I guess if the brick wall was parallel to the floor joices, the brick on the inside could pass thru the floor system to rest on the basement wall ledge. That framed wall would of course be taller by the height of the floor joists.
Another way would be by using an ICF taper top block(CC angles out to the edge at the top) for the top course of block With the taper facing inward. You would attach a ledger board around the inside top of the ICF. You would attach the floor joists to this using joist hangars. you couldn't use the corbel with this method as you could not attach the ledger to it. If I read your description correctly you are planning a 2X6 wall with rigid foam on the outside for a total framed wall thickness of say 7 1/2"(2X6 + 2" foam?). A 6" ICF block being around 11-1/4" thick and you place the outer foam of the framed wall flush with the outer ICF foam, that gives you about 3-3/4" of CC inside the framed wall for the brick to rest on.
Another method would be to use 8" block without a taper top In the same fashion as above. This would have the advantage of placing the weight directly on top of the wall instead of the un-reenforced tapered shelf created by a taper top block. Which is not as strong as the corbel ledge block that is re-enforced with rebar. The tapered top block also replaces foam insulation with CC, so it would have more heat loss in that area. The 8" block would maintain full insulation thickness over the concrete. With a structure your size and say 10' tall ICF basement walls, the difference in concrete between a 6" wall(18 yards) and an 8" wall(24 yards) would be about 6 yards of additional CC to fill the 8" forms. Around here that would be about $600, YMMV
You could possibly use the corbel ledge to support top chord trusses like I did with the brick resting on top of the floor structure. In this case the brick would be resting on flat lumber sill and blocking between trusses and not a framed structure, but might require some specific engineering analysis.
There are probably still a few other ways to do this... Of the ones above I probably like the 8" straight block the best as it seems the most simple and potentially troube free with inside brick added to the design mix.
I don't know if you have chosen a type of block, but most block manufacturers have a resource section with examples of these type of engineering details. I am buildig with Fox, so am most familliar with their resouces. Here is a link to their resource section which has autocad and .PDF drawings to look at, which might give you some other ideas.
http://www.foxblocks.com/resource-center/autocad-2d-details/
Good Luck.